Electric Flux

The electric flux through a surface is related to the total charge enclosed by the surface, according to Gauss’s law. Mathematically, it is expressed as: Where:
- is the electric flux,
- is the total charge enclosed by the surface,
- is the permittivity of free space.
According to Gauss's law, the electric flux depends on the enclosed charge and not on the distribution of the charge or the shape of the surface, as long as the surface encloses the same amount of charge.
Let’s evaluate each surface based on the charges:
- Surface has an enclosed charge of ,
- Surface has an enclosed charge of ,
- Surface has an enclosed charge of ,
- Surface has an enclosed charge of .
Since the electric flux depends on the total enclosed charge, we have: Thus, the fluxes follow the relationship: